Spectral properties of integral operators in problems of interface dynamics

Abstract

We consider a family of integral operators which appears when analyzing layered equilibria and front dynamics of a phase kinetics equation with a conservation law. We study the spectra of these operators in $L^2$ and derive a lower bound for the associated quadratic forms in terms of the $H^{-1}$ norm.

51 pages

References in corpus (1)

• Phase Segregation Dynamics in Particle Systems with Long Range Interactions I: Macroscopic Limits